Results 31 to 40 of about 15,510,191 (369)
Multiple positive solutions to elliptic boundary blow-up problems [PDF]
, 2016 We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion +44 more
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Existence of positive solutions to some nonlinear equations on locally finite graphs [PDF]
, 2016 Let G = (V, E) be a locally finite graph, whose measure μ(x) has positive lower bound, and Δ be the usual graph Laplacian. Applying the mountain-pass theorem due to Ambrosetti and Rabinowitz (1973), we establish existence results for some nonlinear ...
A. Grigor’yan, Yong Lin, Y. Yang
semanticscholar +1 more source
Infinitely many positive solutions for a Schrodinger-Poisson system [PDF]
, 2010 We find infinitely many positive non-radial solutions for a nonlinear Schrodinger-Poisson system.Comment: 23 ...
d'Avenia, Pietro +2 more
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Boundary Value Problems, 2018 In this paper, we focus on the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary conditions.
Jianxin He +4 more
semanticscholar +1 more source
On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value
Nonlinear Analysis, 2006 This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and ...
G. A. Afrouzi, S. H. Rasouli
doaj +1 more source
Classification of positive solutions of heat equation with supercritical absorption [PDF]
, 2013 Let $q\geq 1+\frac{2}{N}$. We prove that any positive solution of (E) $\prt_t u-\xD u+u^q=0$ in $\mathbb{R}^N\times(0,\infty)$ admits an initial trace which is a nonnegative Borel measure, outer regular with respect to the fine topology associated to the
Gkikas, Konstantinos, Veron, Laurent
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Boundary Value Problems, 2017 In this paper, we investigate the existence of positive solutions for a system of nonlinear fractional differential equations nonlocal boundary value problems with parameters and p-Laplacian operator.
Xinan Hao +3 more
semanticscholar +1 more source
Positive Definite Solutions of the Nonlinear Matrix Equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ [PDF]
, 2012 This paper is concerned with the positive definite solutions to the matrix equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ where $X$ is the unknown and $A$ is a given complex matrix.
Cai, Guang-Bin, Lam, James, Zhou, Bin
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New Positive Solutions of Nonlinear Elliptic PDEs
Applied Sciences, 2020 We are concerned with positive solutions of two types of nonlinear elliptic boundary value problems (BVPs). We present conditions for existence, uniqueness and multiple positive solutions of a first type of elliptic BVPs.
Mustafa Inc +6 more
doaj +1 more source
Radial positive solutions for (p(x),q(x))-Laplacian systems
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, we study the existence of radial positive solutions for nonvariational elliptic systems involving the p(x)-Laplacian operator, we show the existence of solutions using Leray-Schauder topological degree theory, sustained by Gidas-Spruck ...
Mohamed Zitouni +2 more
doaj +1 more source